skip to content

Department of Applied Mathematics and Theoretical Physics

  • 2020 - present: Junior Research Fellow, Trinity College, University of Cambridge.
  • 2016 - 2020: PhD student, DAMTP, CCA, University of Cambridge. 
  • 2015 - 2016: M.Math. (Part III), University of Cambridge.
  • 2012 - 2015: B.A. Maths, University of Cambridge.

This webpage is not kept up to date. Please visit my webpage here

Publications

Sharp Computational Bounds for Spectral Types of Schrödinger Operators
MJ Colbrook, G Coote
(2026)
A counterexample to Kenig's conjecture for the Laplace double-layer operator
MJ Colbrook, S Sadeghi
(2026)
The Spectral Skeleton of Chaos: Koopman Wave Packets on Poincaré Sections
JJ Bramburger, S-S Gagnon, R Morris, MJ Colbrook
(2026)
A Complete Resolution of Forsythe's Conjecture for Restarted Conjugate Gradients
MJ Colbrook, G Stepaniants, A Townsend
(2026)
A sharp isoperimetric inequality for the Neumann--Poincaré operator in every dimension
MJ Colbrook, S Sadeghi
(2026)
A computer-assisted counterexample to the planar Berenstein conjecture
MJ Colbrook, S Sadeghi, G Stepaniants
(2026)
A Proof of the Forsythe Conjecture for the Two-Step Restarted Conjugate Gradient Method
MJ Colbrook, G Stepaniants, A Townsend
(2026)
A computer-assisted counterexample to the planar Pompeiu and Schiffer conjectures
MJ Colbrook, G Stepaniants
(2026)
No Spectral Invisibility for Dissipative Barrier Truncations in Any Dimension
MJ Colbrook, M Marletta
(2026)
Nyström Error Beyond $M$-Matrices: A Minimal Diagonally Dominant Obstruction
MJ Colbrook
(2026)
  • 1 of 9
  • >